A well test analysis model of generalized tube flow and seepage coupling

LIN Jia’en,HE Hui,WANG Yihua

Table 1 One-dimensional generalized mobility formula.

Flow law Generalized mobility (derived from existing research results) Linear flow Darcy seepage[4] $\lambda \text{=}K/\mu $ Laminar pipe flow[11] $\lambda ={{d}^{2}}/(32\mu )$ Nonlinear flow Low speed non- Darcy flow[5] $\lambda \text{=(}K/\mu )(1-G/|\partial p/\partial x|)$ High speed non- Darcy flow[6] $\lambda \text{=1/}\left( \mu /K+\beta \rho \left| v \right| \right)$ Power law non- Newtonian flow[7] $\lambda \text{= }\!\!|\!\!\text{ }v{{\text{ }\!\!|\!\!\text{ }}^{1-n}}K/{{\mu }_{\text{e}}}$ Stress sensitive non- Darcy flow[8] $\lambda \text{=}\left( K/\mu \right){{\text{e}}^{\gamma \left( p-{{p}_{\text{i}}} \right)}}$ Turbulent tube flow[9] $\lambda \text{=}2{{d}^{2}}\text{/}\left[ f(Re,e/d)\mu Re \right]$